On the Upsilon invariant in grid homology
The Upsilon invariant is a concordance invariant in knot Floer homology. Földvöri [1] reconstructed the Upsilon invariant using grid homology. We prove that the Upsilon invariant in knot Floer homology and one in grid homology are equivalent. Furthermore, we show some properties of the Upsilon invariant in the framework of grid homology.
Authors
- Hajime Kubota (ORCID: https://orcid.org/0000-0003-3065-3072)
Institutions
- Twitter (United States) (US)
Publication Details
- Journal
- Journal of Knot Theory and Its Ramifications
- Published
- 2026-03-20
- DOI
- https://doi.org/10.1142/s0218216526500276
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00